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3 years ago

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Mathematics

2 answers:

shtirl [24]3 years ago

8 0

a) 10 - 20 +45

Step-by-step explanation:

Is known :

She started with 10 points.

In the first round she lost 20 points.

In the second round she won 45 points.

Asked :

Which of the following shows the changes in Anayah scores?

Aswered :

She started with 10 points - In the first round she lost 20 points + In the second round she won 45 points

= 10 - 20 + 45

Elina [12.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

It's set up exactly as it is said. She starts with 10 points automatically so you would put:

Then it says that she lost 20 points. Losing is subtraction. You would add this to the equation:

10-20

Then it says she won 45 points. Winning is addition. You would add this to the equation:

10-20+45

This equation matches up with A. thus A. being the correct answer. If they ask for the answer, it is 35 by the way. Hope this helps!

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Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First in triangle ABC

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We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

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$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

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$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

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